4 citations · 6 across the 17 of their papers we have counts for
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Suitable weak solutions of the Navier-Stokes equations constructed by a space-time numerical discretization
Luigi C. Berselli, Simone Fagioli, Stefano Spirito
We prove that weak solutions obtained as limits of certain numerical space-time discretizations are suitable in the sense of Scheffer and Caffarelli-Kohn-Nirenberg. More precisely,…
On the convergence of a fully discrete scheme of LES type to physically relevant solutions of the incompressible Navier-Stokes
Luigi C. Berselli, Stefano Spirito
Obtaining reliable numerical simulations of turbulent fluids is a challenging problem in computational fluid mechanics. The Large Eddy Simulations (LES) models are efficient tools…
Quasiconvex elastodynamics: weak-strong uniqueness for measure-valued solutions
Konstantinos Koumatos, Stefano Spirito
A weak-strong uniqueness result is proved for measure-valued solutions to the system of conservation laws arising in elastodynamics. The main novelty brought forward by the present…
Eulerian and Lagrangian solutions to the continuity and Euler equations with vorticity
Gianluca Crippa, Camilla Nobili, Christian Seis +1
In the first part of this paper we establish a uniqueness result for continuity equations with velocity field whose derivative can be represented by a singular integral operator of…